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22106450424 = 23331731372971
BaseRepresentation
bin10100100101101001…
…011010100111111000
32010001122012001000010
4110211221122213320
5330233222403144
614053333541520
71411550504532
oct244551324770
963048161003
1022106450424
119414573443
12434b4a48a0
132113c137c6
1410d9d70852
15895b595b9
hex525a5a9f8

22106450424 has 128 divisors (see below), whose sum is σ = 58272122880. Its totient is φ = 6979737600.

The previous prime is 22106450383. The next prime is 22106450461. The reversal of 22106450424 is 42405460122.

It is a junction number, because it is equal to n+sod(n) for n = 22106450391 and 22106450400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7439259 + ... + 7442229.

It is an arithmetic number, because the mean of its divisors is an integer number (455250960).

Almost surely, 222106450424 is an apocalyptic number.

22106450424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22106450424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29136061440).

22106450424 is an abundant number, since it is smaller than the sum of its proper divisors (36165672456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22106450424 is a wasteful number, since it uses less digits than its factorization.

22106450424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3221 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 22106450424 in words is "twenty-two billion, one hundred six million, four hundred fifty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 73 93 124 137 146 186 219 248 274 292 372 411 438 548 584 744 822 876 1096 1644 1752 2263 2971 3288 4247 4526 5942 6789 8494 8913 9052 10001 11884 12741 13578 16988 17826 18104 20002 23768 25482 27156 30003 33976 35652 40004 50964 54312 60006 71304 80008 92101 101928 120012 184202 216883 240024 276303 310031 368404 407027 433766 552606 620062 650649 736808 814054 867532 930093 1105212 1221081 1240124 1301298 1628108 1735064 1860186 2210424 2442162 2480248 2602596 3256216 3720372 4884324 5205192 6723373 7440744 9768648 12617837 13446746 20170119 25235674 26893492 29712971 37853511 40340238 50471348 53786984 59425942 75707022 80680476 89138913 100942696 118851884 151414044 161360952 178277826 237703768 302828088 356555652 713111304 921102101 1842204202 2763306303 3684408404 5526612606 7368816808 11053225212 22106450424